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56611745060 = 225132232925111
BaseRepresentation
bin110100101110010100…
…101010110100100100
312102010100222121202112
4310232110222310210
51411420101320220
642001310100152
74042614615263
oct645624526444
9172110877675
1056611745060
1122010943a72
12ab7b1aa658
1354527b7300
142a508a25da
15171506a5c5
hexd2e52ad24

56611745060 has 144 divisors (see below), whose sum is σ = 138967799040. Its totient is φ = 19303764480.

The previous prime is 56611745039. The next prime is 56611745107. The reversal of 56611745060 is 6054711665.

It is a junction number, because it is equal to n+sod(n) for n = 56611744999 and 56611745017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2241905 + ... + 2267015.

It is an arithmetic number, because the mean of its divisors is an integer number (965054160).

Almost surely, 256611745060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56611745060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69483899520).

56611745060 is an abundant number, since it is smaller than the sum of its proper divisors (82356053980).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56611745060 is a wasteful number, since it uses less digits than its factorization.

56611745060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25198 (or 25183 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The spelling of 56611745060 in words is "fifty-six billion, six hundred eleven million, seven hundred forty-five thousand, sixty".

Divisors: 1 2 4 5 10 13 20 23 26 29 46 52 58 65 92 115 116 130 145 169 230 260 290 299 338 377 460 580 598 667 676 754 845 1196 1334 1495 1508 1690 1885 2668 2990 3335 3380 3770 3887 4901 5980 6670 7540 7774 8671 9802 13340 15548 17342 19435 19604 24505 25111 34684 38870 43355 49010 50222 77740 86710 98020 100444 112723 125555 173420 225446 251110 326443 450892 502220 563615 577553 652886 728219 1127230 1155106 1305772 1456438 1632215 2254460 2310212 2887765 2912876 3264430 3641095 4243759 5775530 6528860 7282190 7508189 8487518 9466847 11551060 14564380 15016378 16749037 16975036 18933694 21218795 30032756 33498074 37540945 37867388 42437590 47334235 66996148 75081890 83745185 84875180 94668470 97606457 123069011 150163780 167490370 189336940 195212914 217737481 246138022 334980740 390425828 435474962 488032285 492276044 615345055 870949924 976064570 1088687405 1230690110 1952129140 2177374810 2461380220 2830587253 4354749620 5661174506 11322349012 14152936265 28305872530 56611745060